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net present value

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › net present value

  • This topic has 5 replies, 2 voices, and was last updated 10 years ago by John Moffat.
Viewing 6 posts - 1 through 6 (of 6 total)
  • Author
    Posts
  • November 12, 2014 at 6:02 pm #209437
    saifudeen
    Member
    • Topics: 85
    • Replies: 85
    • ☆☆

    a project has an initial outflow of $12500 followed by six equal annual cash inflows, commencing in one years time . the payback period is exactly four years . the cost of capital is 12% per annum.
    what is the projects net present value to the nearest $ ?

    I dont know how to do this question . Help me !

    November 12, 2014 at 6:28 pm #209456
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54699
    • ☆☆☆☆☆

    If the payback period is exactly four years then it means that the annual cash inflow is 12500 / 4.

    Now you know the annual cash inflow, you can discount it for 6 years using the 6 year annuity factor at 12% and subtract the initial outflow to get the NPV.

    November 12, 2014 at 7:30 pm #209483
    saifudeen
    Member
    • Topics: 85
    • Replies: 85
    • ☆☆

    can i do like this ?
    annual cash flow is 12000/4 = 3000 per year .
    so now we are using annuities table as we are getting equal payment each year .
    so, 3000 * 4.111 ( from the table ) = 12333
    so now the net present value is 12333 – 12000 = 333
    am i correct sir ??? 🙂

    November 13, 2014 at 9:38 am #209543
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54699
    • ☆☆☆☆☆

    That is correct (and is what I wrote you should do!).

    Assuming that the initial flow is indeed 12,000 (in your first post you said it was 12,500).

    December 5, 2014 at 1:45 pm #218384
    saifudeen
    Member
    • Topics: 85
    • Replies: 85
    • ☆☆

    sir. one doubt that if payback period is 4 yrs then why in the question they have given that we get 6 equal cash inflows ?
    what is the logic or sense here ?

    December 6, 2014 at 10:26 am #218813
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54699
    • ☆☆☆☆☆

    The payback period is the number of years it takes to get back the original investment – the shorter the better.
    (It might help you to watch the lecture on this)

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